At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly

m(t) = 3.3t² + 12t + 250 million members per year (0 t 5),

where t is time in years since the start of 2010.(a) Find an expression for the total online social group membership

M(t)

at time t.

M(t) =????????

(b) Use the answer to part (a) to estimate the online social group membership midway through 2014. (Round your answer to the nearest 1 million members.)

M(4.5) = ????????? million members